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Finding the Third Proportional to 419,852.25 and 899,603.16

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Solution

The third proportional to 419,852.25 and 899,603.16 is: 1,927,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,852.25 : 899,603.16 = 899,603.16 : x
  2. Step 2: Convert to fraction form
    419,852.25/899,603.16 = 899,603.16/x
  3. Step 3: Cross multiply
    419,852.25x = 899,603.16 × 899,603.16
  4. Step 4: Simplify right side
    419,852.25x = 809,285,838,734.96
  5. Step 5: Solve for x
    x = 809,285,838,734.96/419,852.25
  6. Step 6: Final answer
    x = 1,927,549.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.